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		<a class="header-logo header-affix-hide margin-left-no margin-right-no" data-offset-top="213" data-spy="affix">[Usaco2016 Dec]Lots of Triangles</a>
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                [Usaco2016 Dec]Lots of Triangles                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><div>Farmer John is thinking of selling some of his land to earn a bit of extra income. His property cont</div>
<div>ains n trees (3&le;N&le;300), each described by a point in the 2D plane, no three of which are collinear</div>
<div>. FJ is thinking about selling triangular lots of land defined by having trees at their vertices; th</div>
<div>ere are of course L =C(n,3)such lots he can consider, based on all possible triples of trees</div>
<div>&nbsp;on his property.A triangular lot has value v if it contains exactly v trees in its interior (the tr</div>
<div>ees on the corners do not count, and note that there are no trees on the boundaries since no three t</div>
<div>rees are collinear). For every v = 0 \ldots N-3, please help FJ determine how many of his L potentia</div>
<div>l lots have value v.</div>
<div>
<div>农夫约翰打算卖掉一些土地来获得额外的收入。他的土地上有N颗树(3 &le; N &le; 300)，可以看做一个平面上的点，</div>
<div>并且没有三点在一条直线上。约翰打算出售一块由三棵树构成的三角形土地，当然这样一共有L =C(n,3)种</div>
<div>可能性。如果一个三角形内部有v个点（不含边界），那么这块土地的价值为v。请帮助约翰统计当v = 0 ... N-3</div>
<div>时，分别有多少块三角形土地价值为v。</div>
</div>
<div></div>
<p></p></p><hr/><h3>输入格式</h3><p><div>The first line of input contains N.</div>
<div>The following N lines contain the x and y coordinates of a single tree;&nbsp;</div>
<div>these are both integers in the range 0 \ldots 1,000,000.</div>
<div></div>
<p></p></p><hr/><h3>输出格式</h3><p><div>Output N-2 lines, where output line i contains a count of the number of lots having value i-1.</div>
<div></div>
<p></p></p><hr/><h3>样例输入</h3><pre>7
3 6
17 15
13 15
6 12
9 1
2 7
10 19</pre><hr/><h3>样例输出</h3><pre>28
6
1
0
0</pre><hr/><h3>提示</h3><p>没有写明提示</p><hr/><h3>题目来源</h3><p>Platinum 鸣谢Firstlast提供译文</p>
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